Rotational Kinematics and Circular Motion Flashcards

Fill-in-the-blank practice flashcards covering angular displacement, velocity, acceleration, units, clock hand angular velocities, and right-hand screw rule directional conventions.

In circular motion, $\pi\,rad$ is equal to __________.

$$180^\circ$$

The value of $1\,rad$ expressed in degrees is approximately __________.

$$57.3^\circ$$

The value of $1^\circ$ expressed in radians is approximately __________.

$$0.01745\,rad$$

The SI unit of angular displacement is the __________.

radian

Angular displacement is treated as a vector quantity when it is __________.

small

The formula relating arc length $s$, radius $r$, and angular displacement $\theta$ is __________.

$$s = r\theta$$

By convention, an anticlockwise angular displacement is positive, while a clockwise angular displacement is __________.

negative

The time required to complete one cycle is defined as the __________.

Time Period

Frequency is defined as the number of cycles per second, with the SI unit of __________.

$$Hertz$$

If a body covers an angular displacement of $\theta = 4\pi\,rad$, the number of completed rotations is __________.

$$2$$

The axis of rotation must pass through the center of rotation and be __________ to the plane of rotation.

perpendicular

The direction of angular velocity and angular acceleration vectors is determined using the __________.

right hand screw rule

According to the right-hand rule, a clockwise rotation produces an angular velocity vector directed __________.

inward

According to the right-hand rule, an anticlockwise rotation produces an angular velocity vector directed __________.

outward

The SI unit of angular velocity $\omega$ is __________.

$$rad\,s^{-1}$$

Linear tangential acceleration $a$ is related to angular acceleration $\alpha$ by the formula __________.

$$a = r\alpha$$

When angular velocity $\omega$ and angular acceleration $\alpha$ are antiparallel, the rotational speed decreases and the motion __________.

decelerates

For a fan rotating at a constant speed, its angular acceleration $\alpha$ is equal to __________.

$$0$$

The angular velocity of the hour hand of a clock is equal to __________.

$$\frac{\pi}{21600}\,rad\,s^{-1}$$

The angular velocity of the minute hand of a clock is equal to __________.

$$\frac{\pi}{1800}\,rad\,s^{-1}$$

The angular velocity of the second hand of a clock is equal to __________.

$$\frac{\pi}{30}\,rad\,s^{-1}$$

Converting a rotational speed of $4\,rpm$ into radians per second yields approximately __________.

$$0.4\,rad\,s^{-1}$$